. Graphical and mechanical computation . Fig. 109a. If we now set the machine so that the point P traces the integral curve,then the recording pen Pi will draw its integral curve J y dx = I ( I y dx)dx = I J y dx2 We may thus draw the successive integral curves y, y, y, .... gives the integral curves connected with the curve of loads of theshaft of a Westinghouse-Rateau Turbine. The curve of loads is repre-sented by the broken line in the figure. By successive integration we getthe shear curve, the bending moment curve, the slope curve, and thedeflection curve. The distance marked off
. Graphical and mechanical computation . Fig. 109a. If we now set the machine so that the point P traces the integral curve,then the recording pen Pi will draw its integral curve J y dx = I ( I y dx)dx = I J y dx2 We may thus draw the successive integral curves y, y, y, .... gives the integral curves connected with the curve of loads of theshaft of a Westinghouse-Rateau Turbine. The curve of loads is repre-sented by the broken line in the figure. By successive integration we getthe shear curve, the bending moment curve, the slope curve, and thedeflection curve. The distance marked offset is the distance 00\ inFig. 109a. 5 DH P < § I & <Sl p Offi O ffi O H < ffi (254). O II ^ ItcJ %^ li ii II ii it Jl* ?j a i O Art. iio MECHANICAL DIFFERENTIATION 255 iio. Mechanical differentiation. Themachine which draws the derivative curve y Differentiator. — Thisdy is a dx of the curve y = f(x). Since the ordinate of the derivative curve is equal to the slope of the in-tegral curve, it is necessary to construct the tangent lines at a series ofpoints of the integral curve. We have already mentioned (Art. 106) theuse of a strip of celluloid with two black dots on its under side to deter-
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Keywords: ., bookcentury1900, bookdecade1910, booksubj, booksubjectengineering
